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242122001201 = 71113241112517
BaseRepresentation
bin1110000101111110011…
…0001000101100110001
3212010221220021001101222
43201133212020230301
512431331213014301
6303121310434425
723331003024143
oct3413746105461
9763856231358
10242122001201
1193757615143
123ab12202a15
1319aa7bc3842
14ba0c424c93
1564713bc31b
hex385f988b31

242122001201 has 16 divisors (see below), whose sum is σ = 247827558528. Its totient is φ = 236482310400.

The previous prime is 242122001179. The next prime is 242122001221. The reversal of 242122001201 is 102100221242.

242122001201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 242122001201 - 210 = 242122000177 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 242122001201.

It is not an unprimeable number, because it can be changed into a prime (242122001221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19337195 + ... + 19349711.

It is an arithmetic number, because the mean of its divisors is an integer number (15489222408).

Almost surely, 2242122001201 is an apocalyptic number.

It is an amenable number.

242122001201 is a deficient number, since it is larger than the sum of its proper divisors (5705557327).

242122001201 is a wasteful number, since it uses less digits than its factorization.

242122001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15112.

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 242122001201 its reverse (102100221242), we get a palindrome (344222222443).

The spelling of 242122001201 in words is "two hundred forty-two billion, one hundred twenty-two million, one thousand, two hundred one".

Divisors: 1 71 113 2411 8023 12517 171181 272443 888707 1414421 19343453 30178487 100423891 2142672577 3410169031 242122001201